What is the Greatest Common Factor of 22672 and 22676?

Greatest common factor (GCF) of 22672 and 22676 is 4.

GCF(22672,22676) = 4

We will now calculate the prime factors of 22672 and 22676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22672 and 22676.

How to find the GCF of 22672 and 22676?

We will first find the prime factorization of 22672 and 22676. After we will calculate the factors of 22672 and 22676 and find the biggest common factor number .

Step-1: Prime Factorization of 22672

Prime factors of 22672 are 2, 13, 109. Prime factorization of 22672 in exponential form is:

22672 = 2⁴ × 13¹ × 109¹

Step-2: Prime Factorization of 22676

Prime factors of 22676 are 2, 5669. Prime factorization of 22676 in exponential form is:

22676 = 2² × 5669¹

Step-3: Factors of 22672

List of positive integer factors of 22672 that divides 22672 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 109, 208, 218, 436, 872, 1417, 1744, 2834, 5668, 11336

Step-4: Factors of 22676

List of positive integer factors of 22676 that divides 22672 without a remainder.

1, 2, 4, 5669, 11338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22672 and 22676. The biggest common factor number is the GCF number.
So the greatest common factor 22672 and 22676 is 4.

Also check out the Least Common Multiple of 22672 and 22676